Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400ce |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
25436160 |
Modular degree for the optimal curve |
Δ |
-1.9355070853074E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 5 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112427008,-811480383488] |
[a1,a2,a3,a4,a6] |
Generators |
[8257536:1107968000:343] |
Generators of the group modulo torsion |
j |
-2455589123241289310521/3024229820792832000 |
j-invariant |
L |
4.2851741912088 |
L(r)(E,1)/r! |
Ω |
0.022147133220418 |
Real period |
R |
6.0464572176564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050bi1 16080x1 |
Quadratic twists by: -4 5 |